↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO639+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:28:39 PM UTC 2026

% Result   : Theorem 2.01s 0.73s
% Output   : CNFRefutation 2.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  166 (  54 unt;   0 def)
%            Number of atoms       :  380 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  339 ( 125   ~; 125   |;  58   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-6 aty)
%            Number of variables   :  622 (  46 sgn 326   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109105,conjecture,
    ! [X9,X10,X1,X17,X4,X8,X2,X3,X5,X19,X20,X21,X22,X23,X24,X25] :
      ( ( coll(X5,X1,X17)
        & coll(X5,X9,X10)
        & circle(X8,X4,X3,X25)
        & coll(X3,X10,X1)
        & circle(X8,X4,X2,X24)
        & coll(X2,X9,X1)
        & circle(X8,X4,X22,X23)
        & midp(X8,X4,X1)
        & circle(X17,X9,X4,X21)
        & coll(X4,X1,X17)
        & circle(X17,X9,X19,X20)
        & perp(X10,X1,X10,X17)
        & perp(X9,X1,X9,X17)
        & ( cong(X1,X9,X1,X10)
          | cong(X1,X9,X9,X10) ) )
     => eqangle(X1,X2,X2,X5,X5,X2,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109105) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X3,X4,X5,X6)
        & perp(X1,X2,X3,X4) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X4)
        & coll(X1,X2,X3) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X3,X4,X5,X6)
        & cong(X1,X2,X3,X4) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( para(X1,X4,X2,X3)
        & para(X1,X3,X2,X4)
        & midp(X7,X1,X2) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( coll(X1,X2,X3)
        & cong(X1,X2,X1,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD75,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( cong(X9,X10,X11,X12)
        & eqratio(X1,X2,X3,X4,X9,X10,X11,X12) )
     => cong(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(ruleD70,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
      ( ( midp(X17,X3,X4)
        & midp(X7,X1,X2) )
     => eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( para(X9,X10,X11,X12)
        & eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( coll(X6,X1,X3)
        & para(X5,X6,X2,X3)
        & midp(X5,X1,X2) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

fof(ruleX6,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
    ? [X9] :
      ( ( midp(X17,X3,X4)
        & midp(X7,X1,X2) )
     => ( para(X9,X17,X1,X3)
        & para(X9,X7,X2,X4)
        & midp(X9,X1,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X6,X1,X3)
        & midp(X5,X1,X2) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X9,X10,X11,X12,X5,X6,X13,X14)
        & eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(c_0_30,negated_conjecture,
    ~ ! [X9,X10,X1,X17,X4,X8,X2,X3,X5,X19,X20,X21,X22,X23,X24,X25] :
        ( ( coll(X5,X1,X17)
          & coll(X5,X9,X10)
          & circle(X8,X4,X3,X25)
          & coll(X3,X10,X1)
          & circle(X8,X4,X2,X24)
          & coll(X2,X9,X1)
          & circle(X8,X4,X22,X23)
          & midp(X8,X4,X1)
          & circle(X17,X9,X4,X21)
          & coll(X4,X1,X17)
          & circle(X17,X9,X19,X20)
          & perp(X10,X1,X10,X17)
          & perp(X9,X1,X9,X17)
          & ( cong(X1,X9,X1,X10)
            | cong(X1,X9,X9,X10) ) )
       => eqangle(X1,X2,X2,X5,X5,X2,X2,X3) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109105]) ).

fof(c_0_31,plain,
    ! [X399,X400,X401] :
      ( coll(X399,X400,X401)
      | ~ midp(X399,X400,X401) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).

fof(c_0_32,negated_conjecture,
    ( ~ eqangle(esk23_0,esk27_0,esk27_0,esk29_0,esk29_0,esk27_0,esk27_0,esk28_0)
    & coll(esk29_0,esk23_0,esk24_0)
    & coll(esk29_0,esk21_0,esk22_0)
    & circle(esk26_0,esk25_0,esk28_0,esk36_0)
    & coll(esk28_0,esk22_0,esk23_0)
    & circle(esk26_0,esk25_0,esk27_0,esk35_0)
    & coll(esk27_0,esk21_0,esk23_0)
    & circle(esk26_0,esk25_0,esk33_0,esk34_0)
    & midp(esk26_0,esk25_0,esk23_0)
    & circle(esk24_0,esk21_0,esk25_0,esk32_0)
    & coll(esk25_0,esk23_0,esk24_0)
    & circle(esk24_0,esk21_0,esk30_0,esk31_0)
    & perp(esk22_0,esk23_0,esk22_0,esk24_0)
    & perp(esk21_0,esk23_0,esk21_0,esk24_0)
    & ( cong(esk23_0,esk21_0,esk23_0,esk22_0)
      | cong(esk23_0,esk21_0,esk21_0,esk22_0) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).

fof(c_0_33,plain,
    ! [X58,X59,X60,X61,X62,X63] :
      ( para(X58,X59,X62,X63)
      | ~ perp(X60,X61,X62,X63)
      | ~ perp(X58,X59,X60,X61) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).

fof(c_0_34,plain,
    ! [X500,X501,X502,X503] :
      ( perp(esk12_4(X500,X501,X502,X503),X500,X500,X503)
      | ~ circle(X503,X500,X501,X502) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).

fof(c_0_35,plain,
    ! [X54,X55,X56,X57] :
      ( perp(X56,X57,X54,X55)
      | ~ perp(X54,X55,X56,X57) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).

fof(c_0_36,plain,
    ! [X29,X30,X31] :
      ( coll(X30,X29,X31)
      | ~ coll(X29,X30,X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).

cnf(c_0_37,plain,
    ( ~ midp(X1,X2,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    midp(esk26_0,esk25_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,plain,
    ( ~ perp(X3,X4,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,plain,
    ( ~ circle(X1,X2,X3,X4)
    | perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( ~ perp(X1,X2,X3,X4)
    | perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_42,plain,
    ! [X70,X71,X72] :
      ( midp(X72,X70,X71)
      | ~ midp(X72,X71,X70) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).

fof(c_0_43,plain,
    ! [X26,X27,X28] :
      ( coll(X26,X28,X27)
      | ~ coll(X26,X27,X28) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).

cnf(c_0_44,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_45,negated_conjecture,
    coll(esk26_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_46,plain,
    ( ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
    | ~ circle(X4,X3,X5,X6)
    | para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,plain,
    ( ~ circle(X2,X1,X3,X4)
    | perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_40]) ).

fof(c_0_48,plain,
    ! [X396,X397,X398] :
      ( cong(X396,X397,X396,X398)
      | ~ midp(X396,X397,X398) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).

cnf(c_0_49,plain,
    ( ~ midp(X1,X2,X3)
    | midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_50,plain,
    ! [X32,X33,X34,X35] :
      ( coll(X34,X35,X32)
      | ~ coll(X32,X33,X35)
      | ~ coll(X32,X33,X34) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).

cnf(c_0_51,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_52,negated_conjecture,
    coll(esk25_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

fof(c_0_53,plain,
    ! [X36,X37,X38,X39] :
      ( para(X36,X37,X39,X38)
      | ~ para(X36,X37,X38,X39) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).

cnf(c_0_54,plain,
    ( ~ circle(X2,X1,X3,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    circle(esk26_0,esk25_0,esk33_0,esk34_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_56,plain,
    ! [X143,X144,X145,X146] :
      ( cong(X143,X144,X146,X145)
      | ~ cong(X143,X144,X145,X146) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).

cnf(c_0_57,plain,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_58,negated_conjecture,
    midp(esk26_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_49,c_0_38]) ).

cnf(c_0_59,plain,
    ( ~ coll(X1,X2,X4)
    | ~ coll(X1,X2,X3)
    | coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_60,negated_conjecture,
    coll(esk25_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_61,plain,
    ! [X40,X41,X42,X43] :
      ( para(X42,X43,X40,X41)
      | ~ para(X40,X41,X42,X43) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).

cnf(c_0_62,plain,
    ( ~ para(X1,X2,X3,X4)
    | para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    para(esk25_0,esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_64,plain,
    ! [X151,X152,X153,X154,X155,X156] :
      ( cong(X151,X152,X155,X156)
      | ~ cong(X153,X154,X155,X156)
      | ~ cong(X151,X152,X153,X154) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).

cnf(c_0_65,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    cong(esk26_0,esk23_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

fof(c_0_67,plain,
    ! [X147,X148,X149,X150] :
      ( cong(X149,X150,X147,X148)
      | ~ cong(X147,X148,X149,X150) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ coll(esk25_0,esk23_0,X1)
    | coll(X1,esk26_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_69,plain,
    ( ~ para(X1,X2,X3,X4)
    | para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    para(esk25_0,esk26_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,plain,
    ( ~ cong(X3,X4,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    cong(esk26_0,esk23_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk26_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_68,c_0_60]) ).

fof(c_0_75,plain,
    ! [X107,X108,X109,X110,X111,X112,X113,X114] :
      ( eqangle(X109,X110,X107,X108,X113,X114,X111,X112)
      | ~ eqangle(X107,X108,X109,X110,X111,X112,X113,X114) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).

fof(c_0_76,plain,
    ! [X261,X262,X263,X264,X265,X266] :
      ( eqangle(X261,X262,X265,X266,X263,X264,X265,X266)
      | ~ para(X261,X262,X263,X264) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk26_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_51,c_0_45]) ).

fof(c_0_78,plain,
    ! [X380,X381,X382,X383,X384] :
      ( midp(X384,X382,X383)
      | ~ para(X380,X383,X381,X382)
      | ~ para(X380,X382,X381,X383)
      | ~ midp(X384,X380,X381) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).

cnf(c_0_79,negated_conjecture,
    para(esk26_0,esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

fof(c_0_80,plain,
    ! [X393,X394,X395] :
      ( midp(X393,X394,X395)
      | ~ coll(X393,X394,X395)
      | ~ cong(X393,X394,X393,X395) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ cong(X1,X2,esk26_0,esk23_0)
    | cong(X1,X2,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_82,negated_conjecture,
    cong(esk25_0,esk26_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_73,c_0_72]) ).

cnf(c_0_83,negated_conjecture,
    coll(esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_51,c_0_74]) ).

fof(c_0_84,plain,
    ! [X255,X256,X257,X258,X259,X260] :
      ( para(X255,X256,X257,X258)
      | ~ eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).

cnf(c_0_85,plain,
    ( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_86,plain,
    ( ~ para(X1,X2,X3,X4)
    | eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ coll(esk26_0,esk23_0,X1)
    | coll(X1,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_77]) ).

cnf(c_0_88,plain,
    ( ~ para(X2,X5,X3,X4)
    | ~ para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_89,negated_conjecture,
    para(esk26_0,esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_62,c_0_79]) ).

cnf(c_0_90,plain,
    ( ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_91,negated_conjecture,
    cong(esk25_0,esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk25_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_44,c_0_83]) ).

cnf(c_0_93,plain,
    ( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_94,plain,
    ( ~ para(X3,X4,X5,X6)
    | eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_95,negated_conjecture,
    cong(esk26_0,esk25_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_38]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_87,c_0_77]) ).

fof(c_0_97,plain,
    ! [X432,X433,X434,X435,X436,X437,X438,X439] :
      ( cong(X432,X433,X434,X435)
      | ~ cong(X436,X437,X438,X439)
      | ~ eqratio(X432,X433,X434,X435,X436,X437,X438,X439) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).

fof(c_0_98,plain,
    ! [X402,X403,X404,X405,X406,X407] :
      ( eqratio(X406,X402,X402,X403,X407,X404,X404,X405)
      | ~ midp(X407,X404,X405)
      | ~ midp(X406,X402,X403) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ midp(X1,esk26_0,esk26_0)
    | midp(X1,esk25_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_89])]) ).

cnf(c_0_100,negated_conjecture,
    midp(esk25_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).

cnf(c_0_101,plain,
    ( ~ para(X3,X4,X3,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    cong(esk26_0,esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_81,c_0_95]) ).

cnf(c_0_103,negated_conjecture,
    coll(esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_51,c_0_96]) ).

fof(c_0_104,plain,
    ! [X390,X391,X392] :
      ( coll(X390,X391,X392)
      | ~ para(X390,X391,X390,X392) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).

cnf(c_0_105,plain,
    ( ~ cong(X5,X6,X7,X8)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_106,plain,
    ( ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3)
    | eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_107,negated_conjecture,
    midp(esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_108,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_101,c_0_89]) ).

cnf(c_0_109,negated_conjecture,
    cong(esk26_0,esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_65,c_0_102]) ).

cnf(c_0_110,negated_conjecture,
    coll(esk26_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_44,c_0_103]) ).

cnf(c_0_111,plain,
    ( ~ para(X1,X2,X1,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_112,plain,
    ( ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6)
    | ~ cong(X4,X5,X5,X6)
    | cong(X1,X2,X2,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    cong(esk25_0,esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_107]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ midp(X1,X3,X3)
    | midp(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_108]),c_0_108])]) ).

cnf(c_0_115,negated_conjecture,
    midp(esk26_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_109]),c_0_110])]) ).

cnf(c_0_116,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_111,c_0_108]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_107])]) ).

cnf(c_0_118,negated_conjecture,
    midp(esk26_0,X1,X1),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_119,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_44,c_0_116]) ).

fof(c_0_120,plain,
    ! [X416,X417,X418,X419,X420,X421,X422,X423] :
      ( para(X416,X417,X418,X419)
      | ~ para(X420,X421,X422,X423)
      | ~ eqangle(X416,X417,X418,X419,X420,X421,X422,X423) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).

fof(c_0_121,plain,
    ! [X295,X296,X297] :
      ( eqangle(X297,X295,X295,X296,X295,X296,X297,X296)
      | ~ cong(X297,X295,X297,X296) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).

cnf(c_0_122,negated_conjecture,
    cong(esk26_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_123,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_119]) ).

fof(c_0_124,plain,
    ! [X290,X291,X292,X293,X294] :
      ( midp(X294,X290,X292)
      | ~ coll(X294,X290,X292)
      | ~ para(X293,X294,X291,X292)
      | ~ midp(X293,X290,X291) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).

cnf(c_0_125,plain,
    ( ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_126,plain,
    ( ~ cong(X1,X2,X1,X3)
    | eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_127,negated_conjecture,
    cong(X1,X1,esk26_0,X1),
    inference(spm,[status(thm)],[c_0_73,c_0_122]) ).

cnf(c_0_128,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_123]),c_0_123])]) ).

cnf(c_0_129,plain,
    ( ~ coll(X4,X2,X5)
    | ~ para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_130,plain,
    ( ~ para(X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3)
    | para(X1,X2,X2,X3) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_131,negated_conjecture,
    cong(X1,X1,X1,esk26_0),
    inference(spm,[status(thm)],[c_0_65,c_0_127]) ).

cnf(c_0_132,plain,
    ( ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_128])]) ).

cnf(c_0_133,plain,
    ( ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_128])]) ).

cnf(c_0_134,negated_conjecture,
    para(X1,X1,X1,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_108])]) ).

cnf(c_0_135,negated_conjecture,
    midp(X1,X1,esk26_0),
    inference(spm,[status(thm)],[c_0_132,c_0_131]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ midp(X1,X2,X1)
    | midp(X1,X2,esk26_0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_137,negated_conjecture,
    midp(X1,esk26_0,X1),
    inference(spm,[status(thm)],[c_0_49,c_0_135]) ).

fof(c_0_138,plain,
    ! [X466,X467,X468,X469,X470,X471] :
      ( ( ~ midp(X471,X468,X469)
        | ~ midp(X470,X466,X467)
        | para(esk6_6(X466,X467,X468,X469,X470,X471),X471,X466,X468) )
      & ( ~ midp(X471,X468,X469)
        | ~ midp(X470,X466,X467)
        | para(esk6_6(X466,X467,X468,X469,X470,X471),X470,X467,X469) )
      & ( ~ midp(X471,X468,X469)
        | ~ midp(X470,X466,X467)
        | midp(esk6_6(X466,X467,X468,X469,X470,X471),X466,X469) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).

cnf(c_0_139,negated_conjecture,
    midp(X1,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_140,plain,
    ( ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2)
    | para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ midp(X3,X2,X3)
    | midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_108]) ).

cnf(c_0_142,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_114,c_0_139]) ).

cnf(c_0_143,plain,
    ( ~ coll(X1,X2,X3)
    | ~ midp(X1,X4,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_129,c_0_140]) ).

cnf(c_0_144,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_145,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_62,c_0_108]) ).

cnf(c_0_146,plain,
    ( ~ midp(X1,X4,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_128])]) ).

cnf(c_0_147,negated_conjecture,
    midp(X1,X2,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_144])]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ midp(X3,X2,X1)
    | midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_133,c_0_145]) ).

fof(c_0_149,plain,
    ! [X285,X286,X287,X288,X289] :
      ( para(X288,X289,X286,X287)
      | ~ midp(X289,X285,X287)
      | ~ midp(X288,X285,X286) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ midp(X4,X5,X3)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_147])]) ).

cnf(c_0_151,negated_conjecture,
    midp(esk26_0,X1,X2),
    inference(spm,[status(thm)],[c_0_148,c_0_147]) ).

cnf(c_0_152,plain,
    ( ~ midp(X4,X2,X5)
    | ~ midp(X1,X2,X3)
    | para(X1,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_153,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

fof(c_0_154,plain,
    ! [X123,X124,X125,X126,X127,X128,X129,X130] :
      ( eqangle(X123,X124,X127,X128,X125,X126,X129,X130)
      | ~ eqangle(X123,X124,X125,X126,X127,X128,X129,X130) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).

cnf(c_0_155,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153]),c_0_153])]) ).

cnf(c_0_156,plain,
    ( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

fof(c_0_157,plain,
    ! [X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142] :
      ( eqangle(X131,X132,X133,X134,X139,X140,X141,X142)
      | ~ eqangle(X135,X136,X137,X138,X139,X140,X141,X142)
      | ~ eqangle(X131,X132,X133,X134,X135,X136,X137,X138) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])])]) ).

cnf(c_0_158,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_155])]) ).

cnf(c_0_159,plain,
    ( ~ para(X1,X2,X3,X4)
    | eqangle(X1,X2,X3,X4,X5,X6,X5,X6) ),
    inference(spm,[status(thm)],[c_0_156,c_0_86]) ).

cnf(c_0_160,plain,
    ( ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_161,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_156,c_0_158]) ).

cnf(c_0_162,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_155])]) ).

cnf(c_0_163,negated_conjecture,
    ~ eqangle(esk23_0,esk27_0,esk27_0,esk29_0,esk29_0,esk27_0,esk27_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_164,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162])]) ).

cnf(c_0_165,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO639+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n016.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 20 18:15:07 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.01/0.73  % Version: 3.5.1
% 2.01/0.73  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.73  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.73  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.73  % Starting new_bool_3 with 300s (1) cores
% 2.01/0.73  % Starting new_bool_1 with 300s (1) cores
% 2.01/0.73  % Starting sh5l with 300s (1) cores
% 2.01/0.73  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 502307 completed with status 0
% 2.01/0.73  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.01/0.73  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.73  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.73  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.73  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.01/0.73  % No SInE strategy applied
% 2.01/0.73  % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.01/0.73  % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.01/0.73  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.01/0.73  % Starting SubtermCWHack with 136s (1) cores
% 2.01/0.73  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.01/0.73  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.01/0.73  % Starting new_bool_3 with 136s (1) cores
% 2.01/0.73  % Starting new_bool_1 with 136s (1) cores
% 2.01/0.73  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 502318 completed with status 0
% 2.01/0.73  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.01/0.73  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.73  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.73  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.73  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.01/0.73  % No SInE strategy applied
% 2.01/0.73  % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.01/0.73  % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.01/0.73  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.01/0.73  % Starting SubtermCWHack with 136s (1) cores
% 2.01/0.73  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.01/0.73  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.01/0.73  % Preprocessing time       : 0.002 s
% 2.01/0.73  % Presaturation interreduction done
% 2.01/0.73  
% 2.01/0.73  % Proof found!
% 2.01/0.73  % SZS status Theorem
% 2.01/0.73  % SZS output start CNFRefutation
% See solution above
% 2.01/0.73  % Parsed axioms                        : 95
% 2.01/0.73  % Removed by relevancy pruning/SinE    : 0
% 2.01/0.73  % Initial clauses                      : 128
% 2.01/0.73  % Removed in clause preprocessing      : 0
% 2.01/0.73  % Initial clauses in saturation        : 128
% 2.01/0.73  % Processed clauses                    : 3914
% 2.01/0.73  % ...of these trivial                  : 547
% 2.01/0.73  % ...subsumed                          : 127
% 2.01/0.73  % ...remaining for further processing  : 3240
% 2.01/0.73  % Other redundant clauses eliminated   : 0
% 2.01/0.73  % Clauses deleted for lack of memory   : 0
% 2.01/0.73  % Backward-subsumed                    : 19
% 2.01/0.73  % Backward-rewritten                   : 3056
% 2.01/0.73  % Generated clauses                    : 22403
% 2.01/0.73  % ...of the previous two non-redundant : 12551
% 2.01/0.73  % ...aggressively subsumed             : 0
% 2.01/0.73  % Contextual simplify-reflections      : 5
% 2.01/0.73  % Paramodulations                      : 22403
% 2.01/0.73  % Factorizations                       : 0
% 2.01/0.73  % NegExts                              : 0
% 2.01/0.73  % Equation resolutions                 : 0
% 2.01/0.73  % Disequality decompositions           : 0
% 2.01/0.73  % Total rewrite steps                  : 14766
% 2.01/0.73  % ...of those cached                   : 10662
% 2.01/0.73  % Propositional unsat checks           : 0
% 2.01/0.73  %    Propositional check models        : 0
% 2.01/0.73  %    Propositional check unsatisfiable : 0
% 2.01/0.73  %    Propositional clauses             : 0
% 2.01/0.73  %    Propositional clauses after purity: 0
% 2.01/0.73  %    Propositional unsat core size     : 0
% 2.01/0.73  %    Propositional preprocessing time  : 0.000
% 2.01/0.73  %    Propositional encoding time       : 0.000
% 2.01/0.73  %    Propositional solver time         : 0.000
% 2.01/0.73  %    Success case prop preproc time    : 0.000
% 2.01/0.73  %    Success case prop encoding time   : 0.000
% 2.01/0.73  %    Success case prop solver time     : 0.000
% 2.01/0.73  % Current number of processed clauses  : 38
% 2.01/0.73  %    Positive orientable unit clauses  : 25
% 2.01/0.73  %    Positive unorientable unit clauses: 0
% 2.01/0.73  %    Negative unit clauses             : 0
% 2.01/0.73  %    Non-unit-clauses                  : 13
% 2.01/0.73  % Current number of unprocessed clauses: 6639
% 2.01/0.73  % ...number of literals in the above   : 22680
% 2.01/0.73  % Current number of archived formulas  : 0
% 2.01/0.73  % Current number of archived clauses   : 3202
% 2.01/0.73  % Clause-clause subsumption calls (NU) : 86818
% 2.01/0.73  % Rec. Clause-clause subsumption calls : 59634
% 2.01/0.73  % Non-unit clause-clause subsumptions  : 143
% 2.01/0.73  % Unit Clause-clause subsumption calls : 57738
% 2.01/0.73  % Rewrite failures with RHS unbound    : 0
% 2.01/0.73  % BW rewrite match attempts            : 18592
% 2.01/0.73  % BW rewrite match successes           : 2377
% 2.01/0.73  % Condensation attempts                : 0
% 2.01/0.73  % Condensation successes               : 0
% 2.01/0.73  % Termbank termtop insertions          : 248809
% 2.01/0.73  % Search garbage collected termcells   : 2936
% 2.01/0.73  
% 2.01/0.73  % -------------------------------------------------
% 2.01/0.73  % User time                : 0.255 s
% 2.01/0.73  % System time              : 0.013 s
% 2.01/0.73  % Total time               : 0.268 s
% 2.01/0.73  % Maximum resident set size: 4052 pages
% 2.01/0.73  
% 2.01/0.73  % -------------------------------------------------
% 2.01/0.73  % User time                : 1.177 s
% 2.01/0.73  % System time              : 0.075 s
% 2.01/0.73  % Total time               : 1.252 s
% 2.01/0.73  % Maximum resident set size: 4864 pages
% 2.01/0.73  % E exiting
%------------------------------------------------------------------------------